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The quadratic equation x^2 + 5x – 6= 0 has two rational roots which are not equal as the nature of its roots. What is its discriminant?
a.49 b.1
c 7 d.5 ​


Sagot :

ANSWER A.

In finding the discriminant, use the formula b²-4ac where the values are found in the equation base on its term (a + bx + c = 0).

GIVEN EQUATION

x² + 5x - 6 = 0

a= 1, b= 5, c= -6

DISCRIMINANT

b²-4ac

Evaluate the values

(5)² - 4(1)(-6)

Multiply the negative sign to -24. Change the sign to positive.

25 - (-24)

Add

25 + 24= 49

NATURE OF ROOTS

Real, rational and unequal

- discriminant > 0

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